The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 12  0  4  0  0  4  4  8  8 12 12  8  8 12
 0  0 12  4  8  4 12  8  8  4 12  8  0 12  4

generates a code of length 15 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+15x^14+224x^15+15x^16+1x^30

The gray image is a code over GF(2) with n=120, k=8 and d=56.
This code was found by Heurico 1.16 in 0.00192 seconds.